math rules

direct proportion

y = kx

inverse proportion

y = k/x

to find overall upper bound with addition

upper bound + upper bound

to find overall upper bound with subtraction

upper bound - lower bound

to find overall upper bound with multiplication

upper bound x upper bound

to find overall upper bound with division

upper bound / lower bound

to find overall lower bound with addition

lower bound + lower bound

to find overall lower bound with subraction

lower bound - upper bound

to find overall lower bound with multiplication

lower bound x lower bound

to find overall lower bound with division

lower bound / upper bound

enlarged length - similar shape

scale factor = k

enlarged surface area - similar shape

scale factor = k²

enlarged volume/mass - similar shape

scale factor = k³

sum of interior sides

180 x (n-2)

y = f(x) + a

translation - moves up or down

+a = up

-a = down

y = f(x+a)

translation - move left of right

+a = move left

-a = move right

y = -f(x)

reflection in x axis

y = f(-x)

reflection in y-axis

discriminant

positive?

negative?

0?

b² - 4ac

positive - 2 solutions

negative - 0 solutions - no roots

0 - 1 solution

A∩B

intersect of A and B

numbers in BOTH A and B

AUB

union of A and B

elements in A or B or both

B’

complement of B

not in B

quadratic inequality
x² < 0

n < x < n

quadratic inequality
x² > 0

example : x²+3x-4>0

x > 1, x<-4

where to plot points for cumulative frequency graph

endpoint of class width

how to prove that vectors are on straght line

find out what you need to multiply to get from vector A to vector B

they start on the same point

same direction

sum?

product?

sum = add

product = multiply

sin 0

0

sin 30

1/2

sin 45

√2 / 2

sin 60

√3 / 2

sin 90

1

cos 0

1

cos 30

√3/2

cos 45

√2/2

cos 60

1/2

cos 90

0

tan 0

0

tan 30

1/√3

tan 45

1

tan 60

√3

tan 90

does not exist

find specific median from frequency table with class width

m = median

L = lower limit of class width

n = total frequency of all

c = total frequency before median

f = total frequency of median class

w = width of median class (upper - lower)